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Related papers: Trading VIX Futures under Mean Reversion with Regi…

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We propose a new approach for trading VIX futures. We assume that the term structure of VIX futures follows a Markov model. Our trading strategy selects a position in VIX futures by maximizing the expected utility for a day-ahead horizon…

Computational Finance · Quantitative Finance 2021-11-24 M. Avellaneda , T. N. Li , A. Papanicolaou , G. Wang

This paper studies the problem of trading futures with transaction costs when the underlying spot price is mean-reverting. Specifically, we model the spot dynamics by the Ornstein-Uhlenbeck (OU), Cox-Ingersoll-Ross (CIR), or exponential…

Mathematical Finance · Quantitative Finance 2016-01-19 Tim Leung , Jiao Li , Xin Li , Zheng Wang

We study the problem of dynamically trading futures in a regime-switching market. Modeling the underlying asset price as a Markov-modulated diffusion process, we present a utility maximization approach to determine the optimal futures…

Portfolio Management · Quantitative Finance 2019-10-16 Tim Leung , Yang Zhou

This paper deals with optimal prediction in a regime-switching model driven by a continuous-time Markov chain. We extend existing results for geometric Brownian motion by deriving optimal stopping strategies that depend on the current…

Probability · Mathematics 2016-06-27 Yue Liu , Nicolas Privault

Motivated by the industry practice of pairs trading, we study the optimal timing strategies for trading a mean-reverting price spread. An optimal double stopping problem is formulated to analyze the timing to start and subsequently…

Trading and Market Microstructure · Quantitative Finance 2015-05-15 Tim Leung , Xin Li

We study the optimal timing strategies for trading a mean-reverting price process with afinite deadline to enter and a separate finite deadline to exit the market. The price process is modeled by a diffusion with an affine drift that…

Trading and Market Microstructure · Quantitative Finance 2018-01-09 Yerkin Kitapbayev , Tim Leung

This paper studies the problem of determining the optimal cut-off for pairs trading rules. We consider two correlated assets whose spread is modelled by a mean-reverting process with stochastic volatility, and the optimal pair trading rule…

Mathematical Finance · Quantitative Finance 2014-12-25 Minh Man Ngo , Huyen Pham

In this work, we consider the optimal portfolio selection problem under hard constraints on trading volume amounts when the dynamics of the risky asset returns are governed by a discrete-time approximation of the Markov-modulated geometric…

Portfolio Management · Quantitative Finance 2014-10-07 Vladimir Dombrovskii , Tatyana Obyedko

In this chapter, we consider volatility swap, variance swap and VIX future pricing under different stochastic volatility models and jump diffusion models which are commonly used in financial market. We use convexity correction approximation…

Mathematical Finance · Quantitative Finance 2017-12-08 Anatoliy Swishchuk , Zijia Wang

Regime detection is vital for the effective operation of trading and investment strategies. However, the most popular means of doing this, the two-state Markov-switching regression model (MSR), is not an optimal solution, as two volatility…

Computational Engineering, Finance, and Science · Computer Science 2022-08-25 Piotr Pomorski , Denise Gorse

This paper explores the implications of producing forecast distributions that are optimized according to scoring rules that are relevant to financial risk management. We assess the predictive performance of optimal forecasts from…

Statistical Finance · Quantitative Finance 2023-03-06 Yuru Sun , Worapree Maneesoonthorn , Ruben Loaiza-Maya , Gael M. Martin

We propose a framework to study optimal trading policies in a one-tick pro-rata limit order book, as typically arises in short-term interest rate futures contracts. The high-frequency trader has the choice to trade via market orders or…

Trading and Market Microstructure · Quantitative Finance 2012-05-15 Fabien Guilbaud , Huyên Pham

In this paper, we study an optimal stopping problem in the presence of model uncertainty and regime switching. The max-min formulation for robust control and the dynamic programming approach are adopted to establish a general theoretical…

Optimization and Control · Mathematics 2025-09-04 Siyu Lv , Zhen Wu , Jie Xiong , Xin Zhang

In a fixed time horizon, appropriately executing a large amount of a particular asset -- meaning a considerable portion of the volume traded within this frame -- is challenging. Especially for illiquid or even highly liquid but also highly…

Mathematical Finance · Quantitative Finance 2023-08-15 David Evangelista , Yuri Thamsten

A new modelling approach that directly prescribes dynamics to the term structure of VIX futures is proposed in this paper. The approach is motivated by the tractability enjoyed by models that directly prescribe dynamics to the VIX,…

Mathematical Finance · Quantitative Finance 2015-04-03 Alexander Badran , Beniamin Goldys

In the complex landscape of traditional futures trading, where vast data and variables like real-time Limit Order Books (LOB) complicate price predictions, we introduce the FutureQuant Transformer model, leveraging attention mechanisms to…

Trading and Market Microstructure · Quantitative Finance 2025-05-12 Wenhao Guo , Yuda Wang , Zeqiao Huang , Changjiang Zhang , Shumin ma

This paper is concerned with the problem of finding the optimal of extraction policies of an oil field in light of various financial and economical restrictions and constraints. Taking into account the fact that the oil price in worldwide…

Optimization and Control · Mathematics 2016-11-07 Moustapha Pemy

We study a series of static and dynamic portfolios of VIX futures and their effectiveness to track the VIX index. We derive each portfolio using optimization methods, and evaluate its tracking performance from both empirical and theoretical…

Risk Management · Quantitative Finance 2019-07-02 Tim Leung , Brian Ward

In this paper, we explore an optimal timing strategy for the trading of price spreads exhibiting mean-reverting characteristics. A sequential optimal stopping framework is formulated to analyze the optimal timings for both entering and…

Computational Finance · Quantitative Finance 2024-03-06 Boming Ning , Prakash Chakraborty , Kiseop Lee

We consider the problem of optimal multiple switching in finite horizon, when the state of the system, including the switching costs, is a general adapted stochastic process. The problem is formulated as an extended impulse control problem…

Probability · Mathematics 2007-07-19 Boualem Djehiche , Said Hamadene , Alexandre Popier
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